Convert Gradians to Minutes Of Arc

Enter the angle in gradians below to get the value converted to minutes of arc.

Results in Minutes Of Arc:

1^g = 54 arcmin

Do you want to convert minutes of arc to gradians?

How to Convert Gradians to Minutes Of Arc

Protractors are often used to measure angle

To convert a gradian measurement to a minute of arc measurement, multiply the angle by the conversion ratio. One gradian is equal to 54 minutes of arc, so use this simple formula to convert:

minutes of arc = gradians × 54

The angle in minutes of arc is equal to the gradians multiplied by 54.

For example, here's how to convert 5 gradians to minutes of arc using the formula above.

5^g = (5 × 54) = 270'

Gradians and minutes of arc are both units used to measure angle. Keep reading to learn more about each unit of measure.

Gradians

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Right angles in gradians
Gradians	Degrees
0 grad	0°
100 grad	90°
200 grad	180°
300 grad	270°
400 grad	360°

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as ^g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1^g, 1 gr, or 1 grd.

Minutes Of Arc

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as arcmin, and are also sometimes abbreviated as MOA or amin. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.

Gradian Measurements and Equivalent Minute Of Arc Conversions

Common gradian values converted to the equivalent minute of arc value
Gradians	Minutes Of Arc
1^g	54'
2^g	108'
3^g	162'
4^g	216'
5^g	270'
6^g	324'
7^g	378'
8^g	432'
9^g	486'
10^g	540'
11^g	594'
12^g	648'
13^g	702'
14^g	756'
15^g	810'
16^g	864'
17^g	918'
18^g	972'
19^g	1,026'
20^g	1,080'
21^g	1,134'
22^g	1,188'
23^g	1,242'
24^g	1,296'
25^g	1,350'
26^g	1,404'
27^g	1,458'
28^g	1,512'
29^g	1,566'
30^g	1,620'
31^g	1,674'
32^g	1,728'
33^g	1,782'
34^g	1,836'
35^g	1,890'
36^g	1,944'
37^g	1,998'
38^g	2,052'
39^g	2,106'
40^g	2,160'